Question 64181
Solve:
1)
{{{5(x-3)+2 < 7}}} Subtract 2 from both sides of the inequality.
{{{5(x-3) < 5}}} Divide both sides by 5.
{{{x-3 < 1}}} Add 3 to both sides.
{{{x < 4}}}
2)
{{{5x > 4(2x-3)}}} Apply the distributive property to the right side.
{{{5x > 8x-12}}} Add 12 to both sides.
{{{5x+12 > 8x}}} Subtract 5x from both sides.
{{{12 > 3x}}} Finally, divide both sides by 3.
{{{4 > x}}} or {{{x < 4}}}